What is the Greatest Common Factor of 89666 and 89672?

Greatest common factor (GCF) of 89666 and 89672 is 2.

GCF(89666,89672) = 2

We will now calculate the prime factors of 89666 and 89672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89666 and 89672.

How to find the GCF of 89666 and 89672?

We will first find the prime factorization of 89666 and 89672. After we will calculate the factors of 89666 and 89672 and find the biggest common factor number .

Step-1: Prime Factorization of 89666

Prime factors of 89666 are 2, 107, 419. Prime factorization of 89666 in exponential form is:

89666 = 2¹ × 107¹ × 419¹

Step-2: Prime Factorization of 89672

Prime factors of 89672 are 2, 11, 1019. Prime factorization of 89672 in exponential form is:

89672 = 2³ × 11¹ × 1019¹

Step-3: Factors of 89666

List of positive integer factors of 89666 that divides 89666 without a remainder.

1, 2, 107, 214, 419, 838, 44833

Step-4: Factors of 89672

List of positive integer factors of 89672 that divides 89666 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1019, 2038, 4076, 8152, 11209, 22418, 44836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89666 and 89672. The biggest common factor number is the GCF number.
So the greatest common factor 89666 and 89672 is 2.

Also check out the Least Common Multiple of 89666 and 89672